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The random coefficients model is an extension of the linear regression model that allows for unobserved heterogeneity in the population by modeling the regression coefficients as random variables. Given data from this model, the statistical…

统计方法学 · 统计学 2018-03-15 Fabian Dunker , Konstantin Eckle , Katharina Proksch , Johannes Schmidt-Hieber

Joint modelling of longitudinal observations and event times continues to remain a topic of considerable interest in biomedical research. For example, in HIV studies, the longitudinal bio-marker such as CD4 cell count in a patient's blood…

统计方法学 · 统计学 2024-07-19 Srimanti Dutta , Arindom Chakraborty , Dipankar Bandyopadhyay

Predicting the survival time of a cancer patient based on his/her genome-wide gene expression remains a challenging problem. For certain types of cancer, the effects of gene expression on survival are both weak and abundant, so identifying…

统计方法学 · 统计学 2018-09-03 Aaron J. Molstad , Li Hsu , Wei Sun

Hazard ratios are frequently reported in time-to-event and epidemiological studies to assess treatment effects. In observational studies, the combination of propensity score weights with the Cox proportional hazards model facilitates the…

统计方法学 · 统计学 2024-02-14 Guilherme W. F. Barros , Jenny Häggström

Case-cohort design, an outcome-dependent sampling design for censored survival data, is increasingly used in biomedical research. The development of asymptotic theory for a case-cohort design in the current literature primarily relies on…

统计理论 · 数学 2012-04-13 Bin Nan , Jon A. Wellner

Learning for control in repeated tasks allows for well-designed experiments to gather the most useful data. We consider the setting in which we use a data-driven controller that does not have access to the true system dynamics. Rather, the…

系统与控制 · 电气工程与系统科学 2025-02-21 Sean Anderson , Katie Byl , João P. Hespanha

With the rapid development of modern technology, massive amounts of data with complex pattern are generated. Gaussian process models that can easily fit the non-linearity in data become more and more popular nowadays. It is often the case…

应用统计 · 统计学 2023-09-11 Zhiyong Hu , Dipak Dey

A case-cohort design is a two-phase sampling design frequently used to analyze censored survival data in a cost-effective way, where a subcohort is usually selected using simple random sampling or stratified simple random sampling. In this…

统计方法学 · 统计学 2024-11-06 Kaeum Choi , Sangwook Kang

We revisit Cox's proportional hazard models and LASSO in the aim of improving feature selection in survival analysis. Unlike traditional methods relying on cross-validation or BIC, the penalty parameter $\lambda$ is directly tuned for…

机器学习 · 统计学 2025-10-23 Maxime van Cutsem , Sylvain Sardy

Nonparametric regression for massive numbers of samples (n) and features (p) is an increasingly important problem. In big n settings, a common strategy is to partition the feature space, and then separately apply simple models to each…

机器学习 · 统计学 2014-06-10 Rajarshi Guhaniyogi , David B. Dunson

In recent years, the growing availability of biomedical datasets featuring numerous longitudinal covariates has motivated the development of several multi-step methods for the dynamic prediction of survival outcomes. These methods employ…

统计方法学 · 统计学 2026-01-14 Mirko Signorelli , Sophie Retif

Identifying co-varying causal elements in very high dimensional feature space with internal structures, e.g., a space with as many as millions of linearly ordered features, as one typically encounters in problems such as whole genome…

统计方法学 · 统计学 2012-06-18 Seyoung Kim , Eric P. Xing

Many applications involve reasoning about time durations before a critical event happens--also called time-to-event outcomes. When will a customer cancel a subscription, a coma patient wake up, or a convicted criminal reoffend?…

机器学习 · 统计学 2024-10-03 George H. Chen

In statistics, time-to-event analysis methods traditionally focus on the estimation of hazards. In recent years, machine learning methods have been proposed to directly predict the event times. We propose a method based on vine copula…

统计方法学 · 统计学 2021-11-16 Shenyi Pan , Harry Joe

In a clinical trial, the random allocation aims to balance prognostic factors between arms, preventing true confounders. However, residual differences due to chance may introduce near-confounders. Adjusting on prognostic factors is…

统计方法学 · 统计学 2024-11-18 Joe de Keizer , Rémi Lenain , Raphaël Porcher , Sarah Zoha , Arthur Chatton , Yohann Foucher

We consider the problem of estimating the distribution of time-to-event data that are subject to censoring and for which the event of interest might never occur, i.e., some subjects are cured. To model this kind of data in the presence of…

统计理论 · 数学 2018-06-05 François Portier , Ingrid Van Keilegom , Anouar El Ghouch

We propose a novel frailty model with change points applying random effects to a Cox proportional hazard model to adjust the heterogeneity between clusters. Because the frailty model includes random effects, the parameters are estimated…

统计方法学 · 统计学 2023-01-12 Masahiro Kojima , Shunichiro Orihara

We provide a principled way for investigators to analyze randomized experiments when the number of covariates is large. Investigators often use linear multivariate regression to analyze randomized experiments instead of simply reporting the…

统计理论 · 数学 2022-06-08 Adam Bloniarz , Hanzhong Liu , Cun-Hui Zhang , Jasjeet Sekhon , Bin Yu

Having a large number of covariates can have a negative impact on the quality of causal effect estimation since confounding adjustment becomes unreliable when the number of covariates is large relative to the samples available. Propensity…

统计方法学 · 统计学 2020-09-15 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu

Truncation is a statistical phenomenon that occurs in many time to event studies. For example, autopsy-confirmed studies of neurodegenerative diseases are subject to an inherent left and right truncation, also known as double truncation.…

统计方法学 · 统计学 2018-03-28 Lior Rennert , Sharon X. Xie